Continuum hypothesis

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The Continuum hypothesis is a conjecture by Georg Cantor which states that there is no set with cardinality greater than all the natural numbers but less than the cardinality of the real numbers (Continuum). The cardinality of such a set would be denoted by the Hebrew letter \aleph. Cantor died without knowing the answer to his conjecture. Kurt Godel and Paul Cohen have since shown that the Continuum hypothesis is undecidable in Zermelo-Fraenkel Set Theory.

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